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5826080 = 255132801
BaseRepresentation
bin10110001110011000100000
3101221222212202
4112032120200
52442413310
6324512332
7100343441
oct26163040
911858782
105826080
11331a247
121b4b6a8
13128cab0
14ab92c8
157a13a5
hex58e620

5826080 has 48 divisors (see below), whose sum is σ = 14828184. Its totient is φ = 2150400.

The previous prime is 5826001. The next prime is 5826127. The reversal of 5826080 is 806285.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 2155024 = 1916^2 + 1468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 680 + ... + 3480.

Almost surely, 25826080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414092).

5826080 is an abundant number, since it is smaller than the sum of its proper divisors (9002104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5826080 is a wasteful number, since it uses less digits than its factorization.

5826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 5826080 is about 2413.7274079730. The cubic root of 5826080 is about 179.9390740305.

The spelling of 5826080 in words is "five million, eight hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2801 5602 11204 14005 22408 28010 36413 44816 56020 72826 89632 112040 145652 182065 224080 291304 364130 448160 582608 728260 1165216 1456520 2913040 5826080